Results 131 to 140 of about 277 (168)
Exponential Pompeiu's type inequalities with applications to Ostrowski's inequality
, 2015 In [Mathematica, Timisoara 22, 143--146 (1946; Zbl 0060.14601)], \textit{D. Pompeiu} derived a variant of Lagrange's mean value theorem, known as Pompeiu's mean value theorem. Its consequence is the Pompeiu inequality. In this paper, some Pompeiu-type inequalities for complex-valued absolutely continuous functions with exponential instead of identity ...
Sever S Dragomir
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Generalized Ostrowski–Grüss-type Inequalities
Results in Mathematics, 2012In this paper several inequalities of the following type are proved. Let \( c\geq 0\) and \(u_{c}(x):=c\left( x-\frac{a+b}{2}\right) .\) Then \[ \left| f(x)-\frac{1}{b-a}\int_{a}^{b}f(t)dt-\frac{f(b)-f(a)}{b-a} u_{c}(x)\right| \leq \left( 1+c\right) \widetilde{\omega }\left( f;\frac{ (x-a)^{2}+(b-x)^{2}}{2(b-a)}\right) \] for all \(f\in C[a,b]\) and ...
Gonska, Heiner +2 more
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On Multidimensional Ostrowski-Type Inequalities
Ukrainian Mathematical Journal, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Univariate Ostrowski Inequalities, Revisited
Monatshefte f?r Mathematik, 2002The author proves several new identities of Montgomery-type (such an identity was used by Montgomery in multiplicative number theory); then certain general Ostrowski type inequalities, involving \(L_p\) (\(p\geq 1\), or \(p=\infty\)) are deduced. There are too many results (17 theorems and a couple of consequences), and too complicated to be stated ...
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On Ostrowski inequality for quantum calculus
Applied Mathematics and Computation, 2021We disprove a version of Ostrowski inequality for quantum calculus appearing in the literature. We derive a correct statement and prove that our new inequality is sharp. We also derive a midpoint inequality.
Aglić-Aljinović, Andrea +3 more
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Two-Point Ostrowski’s Inequality
Results in Mathematics, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Multivariate Ostrowski Type Inequalities
Acta Mathematica Hungarica, 1997The distance between the value \(f(x_{1},\cdots,x_{k})\) of a function \(f \in C^{1}(\prod^{k}_{i=1}[a_{i},b_{i}])\) and its integral mean can be estimated by the formula \[ \begin{gathered} \left| \frac{1}{\Pi^{k}_{i=1}(b_{i}-a_{i})} \int^{b_{1}}_{a_{1}}\int^{b_{2}}_{a_{2}} \cdots \int^{b_{k}}_{a_{k}} f(z_{1},\dots,z_{k})dz_{1}\ldots dz_{k} - f(x_{1},\
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Some Weighted Ostrowski Type Inequalities
Vietnam Journal of Mathematics, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Generalized Ostrowski and Ostrowski-Grüss type inequalities
Rendiconti del Circolo Matematico di Palermo Series 2zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ghulam Farid +5 more
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2010
We present optimal upper bounds for the deviation of a fuzzy continuous function from its fuzzy average over \([a, b] \subset {\mathbb R}\), error is measured in the D-fuzzy metric. The established fuzzy Ostrowski type inequalities are sharp, in fact attained by simple fuzzy real number valued functions.
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We present optimal upper bounds for the deviation of a fuzzy continuous function from its fuzzy average over \([a, b] \subset {\mathbb R}\), error is measured in the D-fuzzy metric. The established fuzzy Ostrowski type inequalities are sharp, in fact attained by simple fuzzy real number valued functions.
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